Titlebook: Algebraic, Number Theoretic, and Topological Aspects of Ring Theory; Jean-Luc Chabert,Marco Fontana,Keith Johnson Book 2023 Springer Natur

guardianship

,Paul-Jean Cahen (1946–2019),ing up in La Flèche, he received his secondary education at the military academy Le Prytanée. In 1963, in his senior year of high school (which, at the time, was called the class of elementary mathematics), Paul-Jean’s mathematics professor happened to be the future Abel prize laureate Yves Meyer. H

Nostalgia

,Bhargava’s Exponential Functions and Bernoulli Numbers Associated to the Set of Prime Numbers,the classical factorials, and Bhargava asked if the corresponding generalizations of functions defined by means of factorials could have interesting properties. In this paper we consider the generalization exp.(.) of the exponential function and the generalization . of the Bernoulli numbers. We are

哎呦

Complement-Finite Ideals,e multiplicative structure of numerical monoids and are also closely related to monoids of zero-sum sequences and certain affine monoids. Here we provide a first general study of this more general construction. Specifically, we study the algebraic and arithmetic properties of complement-finite ideal

LASH

,Yosida, Martínez, and , + , Rings,(Commun Alg 14:557–580, 1986) systematized the construction, useful for finding interesting examples of rings with zero-divisors. We study three properties in the context of . + . rings, all relating to the prime spectrum (and ultimately the frame of radical ideals) of a commutative ring ..

Myocarditis

omnibus

Modules over Trusses vs. Modules over Rings: Internal Direct Sums,he introduction of a truss as a ring-like system (and also a brace-like system). Thus one can observe the categorical construction of modules over trusses. Earlier, it has been shown that the direct sum of two non-empty Abelian heaps is isomorphic to a heap related to the direct sums of the group re

媒介

On the Subatomicity of Polynomial Semidomains,ions and divisibility in atomic domains have been systematically investigated for more than 30 years, the same aspects in the more general context of atomic semidomains have been considered just recently. Here we study subatomicity in the context of semidomains; that is, we study semidomains satisfy

亲爱

Invertibility, Semistar Operations, and the Ring of Finite Fractions,y to their classical counterparts, but replacing (.-)invertibility in their total quotient ring with (.-)invertibility in their ring of finite fractions. We prove many new characterizations of (.-)Dedekind rings, (.-)Krull rings, strongly Prüfer rings, and (.-)Prüfer .-multiplication rings, and we g

Locale

任命